Interpolation of Morrey-Campanato and related smoothness spaces

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• 作者：Wen Yuan ; Winfried Sickel ; DaChun Yang
• 关键词：Morrey space ; Campanato space ; Besov ; type space ; Triebel ; Lizorkin ; type space ; real and complex interpolation ; ± ; method of interpolation ; Peetre ; Gagliardo interpolation ; Calderón product ; 46B70 ; 46E35
• 刊名：SCIENCE CHINA Mathematics
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：58
• 期：9
• 页码：1835-1908
• 全文大小：903 KB
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• 作者单位：Wen Yuan (1)
  Winfried Sickel (2)
  DaChun Yang (1)
  
  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China
  2. Mathematisches Institut, Friedrich-Schiller-Universit?t Jena, Jena, 07743, Germany
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Chinese Library of Science
  Applications of Mathematics
  
• 出版者：Science China Press, co-published with Springer
• ISSN：1869-1862

文摘

We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.